The temperature of an ideal gas in three dimensions is $300 K .$ The corresponding de-Broglie wavelength of the electron approximately at $300 K$ is:
$[m_{e} =$ mass of electron $= 9 \times 10^{- 31} kg$ , $h =$ Planck constant $= 6.6 \times 10^{- 34} J s$ , $k_{B} =$ Boltzmann constant $= 1.38 \times 10^{- 23} J K^{- 1}]$

Question

The temperature of an ideal gas in three dimensions is $300 K .$ The corresponding de-Broglie wavelength of the electron approximately at $300 K$ is:

$[m_{e} =$ mass of electron $= 9 \times 10^{- 31} kg$ , $h =$ Planck constant $= 6.6 \times 10^{- 34} J s$ , $k_{B} =$ Boltzmann constant $= 1.38 \times 10^{- 23} J K^{- 1}]$

Aicharya · Accepted Answer

k = 1 . 38 &#215; 10 - 23 &#160; J &#160; K - 1 Mass of electron = 9 &#215; 10 - 31 &#160; kg &#8658; &#955; D = h 2 m &#215; 3 2 &#215; k T = h 3 mkT &#8658; &#955; D = 6 . 6 &#215; 10 - 34 3 &#215; 9 &#215; 10 - 31 &#215; 1 . 38 &#215; 10 - 23 &#215; 300 = 6 . 6 &#215; 10 - 34 105 . 72 &#215; 10 - 27 = 62 &#160; A &#959; Thus x = 62 &#160; A &#959;

The temperature of an ideal gas in three dimensions is 300   K . The corresponding de-Broglie…

Solution

The temperature of an ideal gas in three dimensions is 300 &#160; K . The corresponding de-Broglie…

Solution

The temperature of an ideal gas in three dimensions is 300 K . The corresponding de-Broglie…